EXTREMELY unlikely
In a few billion years time, when our Milky Way galaxy collides with the Andromeda galaxy, collisions will still be very VERY rare.
The spaces between stars are IMMENSE, so the chances of any two random stars colliding with each other are negligible.
Stars DO collide though - bt almost always they are stars that have been orbiting each other for a LONG time, with a degrading orbit - or maybe one of them has shed some matter in it's death-throes, affecting the orbit enough to cause it to degrade.
Some Gamma ray bursts are thought to be caused by either two neutron stars coming together, or possibly a neutron star and a black hole